A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation

T. Miloh; M. Prestin; L. Shtilman; M. P. Tulin

doi:10.1016/0165-2125(93)90085-T

A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation

T. Miloh, M. Prestin, L. Shtilman, M. P. Tulin

Research output: Contribution to journal › Article › peer-review

Abstract

An efficient pseudospectral method is applied for the numerical solution of the weakly non-linear Benjamin-Ono equation for arbitrary initial conditions. The general solution at large time is shown to evolve into an ordered pattern of Lorentzian solitons and a dispersive train moving in opposite directions. A practical new relationship for estimating the number of solitons is proposed in terms of the soliton-number (representing the ratio between nonlinearity and dispersion effects) and the shape of the initial disturbance.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Wave Motion
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/0165-2125(93)90085-T
State	Published - Feb 1993

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title = "A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation",

abstract = "An efficient pseudospectral method is applied for the numerical solution of the weakly non-linear Benjamin-Ono equation for arbitrary initial conditions. The general solution at large time is shown to evolve into an ordered pattern of Lorentzian solitons and a dispersive train moving in opposite directions. A practical new relationship for estimating the number of solitons is proposed in terms of the soliton-number (representing the ratio between nonlinearity and dispersion effects) and the shape of the initial disturbance.",

author = "T. Miloh and M. Prestin and L. Shtilman and Tulin, {M. P.}",

note = "Funding Information: T. Miloh and M.P. Tulin acknowledge the support of the Office of Naval Research, Ocean Technology Division.",

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T1 - A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation

AU - Miloh, T.

AU - Prestin, M.

AU - Shtilman, L.

AU - Tulin, M. P.

N1 - Funding Information: T. Miloh and M.P. Tulin acknowledge the support of the Office of Naval Research, Ocean Technology Division.

PY - 1993/2

Y1 - 1993/2

N2 - An efficient pseudospectral method is applied for the numerical solution of the weakly non-linear Benjamin-Ono equation for arbitrary initial conditions. The general solution at large time is shown to evolve into an ordered pattern of Lorentzian solitons and a dispersive train moving in opposite directions. A practical new relationship for estimating the number of solitons is proposed in terms of the soliton-number (representing the ratio between nonlinearity and dispersion effects) and the shape of the initial disturbance.

AB - An efficient pseudospectral method is applied for the numerical solution of the weakly non-linear Benjamin-Ono equation for arbitrary initial conditions. The general solution at large time is shown to evolve into an ordered pattern of Lorentzian solitons and a dispersive train moving in opposite directions. A practical new relationship for estimating the number of solitons is proposed in terms of the soliton-number (representing the ratio between nonlinearity and dispersion effects) and the shape of the initial disturbance.

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JO - Wave Motion

JF - Wave Motion

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A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation

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